Question

simplify by using the order of operations.

(10.49 - (15.21 - 13.91)^2 =)

Explanation:

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<reasoning>

Evaluate the expression inside parentheses

Using the Order of Operations and Decimal Arithmetic knowledge points
\[
15.21 - 13.91 = 1.3
\]

Calculate the exponent

Using the Decimal Exponents knowledge point
\[
(1.3)^2 = 1.69
\]

Perform the final subtraction

Using the Decimal Arithmetic knowledge point
\[
10.49 - 1.69 = 8.8
\]
</reasoning>

<answer>
Simplify by using the order of operations.

\(10.49 - (15.21 - 13.91)^2 =\) <blank>8.8</blank>
</answer>

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"question_type": "Fill-in-the-blank",
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"Mathematics",
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"Order of Operations"
]
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Answer:

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<reasoning>

Evaluate the expression inside parentheses

Using the Order of Operations and Decimal Arithmetic knowledge points
\[
15.21 - 13.91 = 1.3
\]

Calculate the exponent

Using the Decimal Exponents knowledge point
\[
(1.3)^2 = 1.69
\]

Perform the final subtraction

Using the Decimal Arithmetic knowledge point
\[
10.49 - 1.69 = 8.8
\]
</reasoning>

<answer>
Simplify by using the order of operations.

\(10.49 - (15.21 - 13.91)^2 =\) <blank>8.8</blank>
</answer>

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